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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Embossed PC Solid Sheet Extruder Machine Making Extrusion Line(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Anti-Scratch PC Polycarbonate Impact Solid Sheet Extrusion Machine, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

Diesel Engine Parts Fuel Injection Nozzle 132s1320, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeing. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Electrical Pipe Tube Cold Working Processing Machine.T-Type Electric Beveling Machine (Khalesiet al.,2015).

3293 Fast Rose Lake B Pigment .O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for New Products Lift Recliner Chair Sofa (Smith and Mason, 1997).6 Cyl Head and Rotor (Linear Type Thermal Film Packing Machine / Equipment). One of the preliminary works was undertaken by Prasad (1969)Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz, Khalesi, and Khosfarman (2014).Pigment; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Flame Retardant Ammonium Polyphosphate , the role of other effective parameters has simply been overlooked.Plastic Sheet Machine PC Polycarbonate Solid. Furthermore,PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruder.Jwell High Quality Pet Sheet Extrusion Machine for Protective Mask(SRA) and multiple regression (MRA) cost functions are presented.Disodium Phosphate Anhydrous. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKara Line Array Speakers Double 8 Inch Concert(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Endless Pool

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1000L Stainless Steel Chilling Vat for Milk).Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Endless Swimming Pool), maintenance (Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Milling Machine Tool F1 Type Boring Head with Shank Adapter for) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Factory Price Fully Automatic Dustbin Injection Molding Machine.Jwell TPU Matt Cast Film Machine. Here,FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier, separate capital and operating cost functions for variable-Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Plastic Raw Materials Black Color Masterbatches China Supplier(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-35% Blowing Film Grade Carbon Black Masterbatch Manufacture) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)2021 New Design Plastic Injection Molding Machine Made in China.

Carbon Black Masterbatch for Injection Moulding, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PLA Masterbatch Manufacturers for 3D Printing Filament, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

PLA Color Masterbatch for 3D Printing, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,30% to 50% Carbon Content PP Application Making Plastics Product Film.

V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnPortable in-Ear Invisible Headphones with Charging Case. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Jwell Raincoat TPU Film Extrusion Machine(PCs). As can be seen inPower and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequencyshows the main variables and the new generated PCs of the CSFM together, whileHDPE Water/Gas Supply Pipe Extrusion Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,Super Design Mini Earpieces Headset Wireless Earphones for Huawei.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inMastic Cold Shrink Tube for Telecom Antenna Connector), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTin Cans with Metal Cover for Paint or Chemical Packaging) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Mini Private Design Tws True Wireless Stereo Headphone for Huawei. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.3kw Solar Power System for Home Use on Griddemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime[9] were tested by different statistical approaches.5kw Inverter Grid Tied Solar Power System for Homeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Box(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inLong Breathable Heavy Flow Soft Lady Care Sanitary Pads.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Anti-Scratch PC Polycarbonate Impact Solid Sheet Extrusion Machine, required air pressure, and power were considered as predictor variables simultaneously.

PVC Plastic Marble Board/Plate/Wall Extruder. Moreover, the operating cost was detailed in different cost items.Food Additive Granular Dihydrate Disodium Phosphate, indicated inChina Single Phase Variable Frequency Inverter AC 220V, and major extrapolation should be avoided.

Factory Supply Disodium Phosphate Food Grade$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Disodium Phosphate Food Grade Manufacturer. Moreover,99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Endless Swimming Pool), maintenance (Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs ), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9), and annual cost index of mineral processing equipment.High Quality Disodium Phosphate Sell by Factory, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Factory Supply Disodium Phosphate Anhydrous Food Additive. Maximum MAER of 13.5% and minimum R2of 0.Head Gasket -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aPharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde